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Finding the Third Proportional to 3,685,228.75 and 7,974,096.50

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Solution

The third proportional to 3,685,228.75 and 7,974,096.50 is: 17,254,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685,228.75 : 7,974,096.50 = 7,974,096.50 : x
  2. Step 2: Convert to fraction form
    3,685,228.75/7,974,096.50 = 7,974,096.50/x
  3. Step 3: Cross multiply
    3,685,228.75x = 7,974,096.50 × 7,974,096.50
  4. Step 4: Simplify right side
    3,685,228.75x = 63,586,214,991,312.25
  5. Step 5: Solve for x
    x = 63,586,214,991,312.25/3,685,228.75
  6. Step 6: Final answer
    x = 17,254,346.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.